IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v438y2023ics009630032200652x.html
   My bibliography  Save this article

Unfairness promotes the evolution of cooperation

Author

Listed:
  • Chen, Wei
  • Zhu, Qianlong
  • Wu, Te

Abstract

Inequality is a ubiquitous phenomenon in real-world society. This investigation aims to study inequality in prisoner dilemma. Individuals contribute to a public pool and act either fairly or unfairly to share the public resource. The participator can either accept the allocation scheme to get a payoff that is better than nothing, or reject it to punish inequality. In the case of discrete strategies, we find that both extreme inequality and fairness fail to optimize the spreading of cooperator, a moderate unfairness best favors the evolution of cooperation under the effects of cyclic dominance. In the case of continuous strategies, it is found that the population evolves into a less unfair state particularly for the coexistence of two strategies, and cooperators prevail by acting fairer than defectors in a spontaneous manner. Our work reveals that inequality impacts the evolution of cooperation significantly and highlights the importance of fairness and unfairness in enhancing the evolution of cooperation.

Suggested Citation

  • Chen, Wei & Zhu, Qianlong & Wu, Te, 2023. "Unfairness promotes the evolution of cooperation," Applied Mathematics and Computation, Elsevier, vol. 438(C).
  • Handle: RePEc:eee:apmaco:v:438:y:2023:i:c:s009630032200652x
    DOI: 10.1016/j.amc.2022.127578
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S009630032200652X
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.amc.2022.127578?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Gao, Jia & Li, Zhi & Wu, Te & Wang, Long, 2010. "Diversity of contribution promotes cooperation in public goods games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(16), pages 3166-3171.
    2. Hisashi Ohtsuki & Christoph Hauert & Erez Lieberman & Martin A. Nowak, 2006. "A simple rule for the evolution of cooperation on graphs and social networks," Nature, Nature, vol. 441(7092), pages 502-505, May.
    3. Zhang, Yanling & Chen, Xiaojie & Liu, Aizhi & Sun, Changyin, 2018. "The effect of the stake size on the evolution of fairness," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 641-653.
    4. Oliver P. Hauser & Christian Hilbe & Krishnendu Chatterjee & Martin A. Nowak, 2019. "Social dilemmas among unequals," Nature, Nature, vol. 572(7770), pages 524-527, August.
    5. Jorge M Pacheco & Flávio L Pinheiro & Francisco C Santos, 2009. "Population Structure Induces a Symmetry Breaking Favoring the Emergence of Cooperation," PLOS Computational Biology, Public Library of Science, vol. 5(12), pages 1-7, December.
    6. Francisco C. Santos & Marta D. Santos & Jorge M. Pacheco, 2008. "Social diversity promotes the emergence of cooperation in public goods games," Nature, Nature, vol. 454(7201), pages 213-216, July.
    7. Lei, Chuang & Wu, Te & Jia, Jian-Yuan & Cong, Rui & Wang, Long, 2010. "Heterogeneity of allocation promotes cooperation in public goods games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 4708-4714.
    8. Karl Sigmund & Hannelore De Silva & Arne Traulsen & Christoph Hauert, 2010. "Social learning promotes institutions for governing the commons," Nature, Nature, vol. 466(7308), pages 861-863, August.
    9. Te Wu & Long Wang & Feng Fu, 2017. "Coevolutionary dynamics of phenotypic diversity and contingent cooperation," PLOS Computational Biology, Public Library of Science, vol. 13(1), pages 1-16, January.
    10. Chen, Wei & Wu, Te & Li, Zhiwu & Wang, Long, 2019. "Evolution of fairness in the mixture of the Ultimatum Game and the Dictator Game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 519(C), pages 319-325.
    11. Akihiro Nishi & Hirokazu Shirado & David G. Rand & Nicholas A. Christakis, 2015. "Inequality and visibility of wealth in experimental social networks," Nature, Nature, vol. 526(7573), pages 426-429, October.
    12. Yanling Zhang & Feng Fu, 2018. "Strategy intervention for the evolution of fairness," PLOS ONE, Public Library of Science, vol. 13(5), pages 1-13, May.
    13. Hauser, Oliver P. & Kraft-Todd, Gordon T. & Rand, David G. & Nowak, Martin A. & Norton, Michael I., 2021. "Invisible inequality leads to punishing the poor and rewarding the rich," Behavioural Public Policy, Cambridge University Press, vol. 5(3), pages 333-353, July.
    14. Yanling Zhang & Jian Liu & Aming Li, 2019. "Effects of Empathy on the Evolutionary Dynamics of Fairness in Group-Structured Systems," Complexity, Hindawi, vol. 2019, pages 1-13, November.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jorge Peña & Yannick Rochat, 2012. "Bipartite Graphs as Models of Population Structures in Evolutionary Multiplayer Games," PLOS ONE, Public Library of Science, vol. 7(9), pages 1-13, September.
    2. Yu, Fengyuan & Wang, Jianwei & He, Jialu, 2022. "Inequal dependence on members stabilizes cooperation in spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
    3. Zhang, Wei, 2024. "Network reciprocity and inequality: The role of additional mixing links among social groups," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    4. Wang, Chaoqian & Szolnoki, Attila, 2022. "Involution game with spatio-temporal heterogeneity of social resources," Applied Mathematics and Computation, Elsevier, vol. 430(C).
    5. Jinzhuo Liu & Mao Peng & Yunchen Peng & Yong Li & Chen Chu & Xiaoyu Li & Qing Liu, 2021. "Effects of inequality on a spatial evolutionary public goods game," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(8), pages 1-7, August.
    6. Xiaojie Chen & Attila Szolnoki, 2018. "Punishment and inspection for governing the commons in a feedback-evolving game," PLOS Computational Biology, Public Library of Science, vol. 14(7), pages 1-15, July.
    7. Michael Foley & Rory Smead & Patrick Forber & Christoph Riedl, 2021. "Avoiding the bullies: The resilience of cooperation among unequals," PLOS Computational Biology, Public Library of Science, vol. 17(4), pages 1-18, April.
    8. Fan, Ruguo & Zhang, Yingqing & Luo, Ming & Zhang, Hongjuan, 2017. "Promotion of cooperation induced by heterogeneity of both investment and payoff allocation in spatial public goods game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 454-463.
    9. Zhang, Yanling & Yang, Shuo & Chen, Xiaojie & Bai, Yanbing & Xie, Guangming, 2023. "Reputation update of responders efficiently promotes the evolution of fairness in the ultimatum game," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    10. Xiaofeng Wang & Xiaojie Chen & Long Wang, 2020. "Evolution of egalitarian social norm by resource management," PLOS ONE, Public Library of Science, vol. 15(1), pages 1-16, January.
    11. Lv, Ran & Qian, Jia-Li & Hao, Qing-Yi & Wu, Chao-Yun & Guo, Ning & Ling, Xiang, 2023. "The impact of current and historical reputation with non-uniform change on cooperation in spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    12. Kurokawa, Shun, 2019. "How memory cost, switching cost, and payoff non-linearity affect the evolution of persistence," Applied Mathematics and Computation, Elsevier, vol. 341(C), pages 174-192.
    13. Li, Bin-Quan & Wu, Zhi-Xi & Guan, Jian-Yue, 2022. "Critical thresholds of benefit distribution in an extended snowdrift game model," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    14. Dong, Yali & Gavrilets, Sergey & Qin, Cheng-Zhong & Zhang, Boyu, 2024. "Kinship can hinder cooperation in heterogeneous populations," Journal of Economic Behavior & Organization, Elsevier, vol. 219(C), pages 231-243.
    15. Flávio L Pinheiro & Jorge M Pacheco & Francisco C Santos, 2012. "From Local to Global Dilemmas in Social Networks," PLOS ONE, Public Library of Science, vol. 7(2), pages 1-6, February.
    16. Chen, Wei & Wu, Te & Li, Zhiwu & Wang, Long, 2016. "Friendship-based partner switching promotes cooperation in heterogeneous populations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 443(C), pages 192-199.
    17. Lv, Ran & Qian, Jia-Li & Hao, Qing-Yi & Wu, Chao-Yun & Guo, Ning & Ling, Xiang, 2024. "The impact of reputation-based heterogeneous evaluation and learning on cooperation in spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    18. Wang, Qun & Wang, Hanchen & Zhang, Zhuxi & Li, Yumeng & Liu, Yu & Perc, Matjaž, 2018. "Heterogeneous investments promote cooperation in evolutionary public goods games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 502(C), pages 570-575.
    19. Yang, Zhihu & Li, Zhi & Wang, Long, 2020. "Evolution of cooperation in a conformity-driven evolving dynamic social network," Applied Mathematics and Computation, Elsevier, vol. 379(C).
    20. Du, Faqi & Fu, Feng, 2013. "Quantifying the impact of noise on macroscopic organization of cooperation in spatial games," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 35-44.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:438:y:2023:i:c:s009630032200652x. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.